Properties of the Number 1920

One Thousand Nine Hundred Twenty

Basics

Value: 1919 → 1920 → 1921

Parity: even

Prime: No

Previous Prime: 1913

Next Prime: 1931

Digit Sum: 12

Digital Root: 3

Palindrome: No

Factorization: 2 ⁷ × 3 × 5

Divisors: 1, 2, 3, 4, 5, 6, 8, 10, 12, 15

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 11110000000

Octal: 3600

Duodecimal: 1140

Hexadecimal: 780

Square: 3686400

Square Root: 43.81780460041329

Classification

Fibonacci: No

Bell Number: No

Factorial Number: No

Regular Number: Yes

Perfect Number: No

Special

Kaprekar Constant: No

Munchausen Constant: No

Armstrong Number: No

Kaprekar Number: No

Catalan Number: No

Vampire Number: No

Taxicab Number: No

Super Prime: No

Friedman Number: No

Fermat Number: No

Cullen Number: No

OEIS Sequences

Least integer of each prime signature A124832; also products of primorial numbers A002110. A25487

Highly abundant numbers: numbers k such that σ(k) > σ(m) for all m < k. A2093

a(0) = 1; for n > 0, a(n) = 2^n-1*n!. A2866

a(n) = n*(n+1)²/2. A6002

Jordan-Polya numbers: products of factorial numbers A000142. A1013

Generalized 12-gonal numbers: k*(5·k-4) for k = 0, +-1, +-2, ... A195162

12-gonal (or dodecagonal) numbers: a(n) = n*(5·n-4). A51624

Number of set partitions of strict integer partitions of n that have distinct block-sums. A279375

Numbers that are divisible by exactly 9 primes with multiplicity. A46312

a(n) = 2·n² - 2. A54000